Systems of Particles

Refer to attachment: Find (a) the x coordinate and (b) the y coordinate of the center of mass of the remaining piece. What is h (a) initially and (b) when all the soda has drained (c) What happens to h during the draining of the soda ? (d) If x is the height of the remaining soda at any given instant, find x in terms of M , H, and m when the center of mass reaches its lowest point How far from the gun does the other fragment land, assuming that the terrain is level and that air drag is negligible ? Assume that all velocities are along the same line. Fine the total kinetic energy of the two parts (c) before and (d) after they separate; account any difference. What are the magni... click for more

conservation of momentum and kinetic energy

A superball has collisions that are nearly prefectly elastic. A superball of mass M is dropped from rest from a height h (where h >> the size of the superball) together with a smaller marble, of mass m; the marble is initially just a little above the top of the superball and remains right over it throughout the fall. The superball hits the floor first and immediatly rebounds elastically, colliding with the marble. (a) What is the speed of the superball and the marble just before the super ball hits the floor? (b) What is the speed of the superball just after it rebounds from the floor but before it hits the marble? (c) What is the velocity of the marble after the superball hits it in the hea... click for more

Finding the coefficient of friction

A cylinder of mass M and radius R rests on an inclined plane. It is held in place by a horizontal string that is attached to the edge of the cylinder. If the angle that the plane makes with the horizontal is theta, and the coefficient of static friction between the cylinder and the plane is u, what is the smallest value of U that will maintain this position as an equilibrium position? I have attached the picture that goes with the problem. I am totally lost on how to do this porblem.

rotational inertia and angular velocity

A solid door of mass M = 20kg and width l= 1m is hit at a right angle by a mud ball of mass m = .5kg, which hits the door at the edge with speed v= 10m/s and sticks. (a) What is the rotational inertia of the door about the hinges? (b) What is the angular velocity of the door after having been struck? (c) What fraction of the initial energy does the moving door-mudd ball sytem retain? I have attached the actual problem picture that goes with it. Please help me slove it.

gravity

a mass of 100kg weighs 980.6N at sea level. estimate the weight of this body at the top of a mountain 5km high. assume that the mean diameter of the earth is 12742km